Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 18 of Exercise 10A
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18
Solve each of the following quadratic equations:
4 - 11x = 3x2
Using the splitting middle term - the middle term of the general equation 
is divided in two such values that:
Product = a.c
For the given equation a = 3; b = 11 ;c = -4
= 3. - 4 = - 12
And either of their sum or difference = b
= 11
Thus the two terms are 12 and - 1
Difference = 12 - 1 = 11
Product = 12. - 1 = - 12
3x(x + 4)-1(x + 4) = 0
(x + 4)(3x-1) = 0
(x + 4) = 0 or (3x-1) = 0
x = -4 or x = 1/3
Roots of equation are - 4, 1/3
